T. V. ANOOP, V. Bobkov, M. Ghosh:
Neumann domains of planar analytic eigenfunctions
Journal of Differential Equations Vol. 479, N. 114605, 2026

T. V. ANOOP, V. Bobkov, M. Ghosh, O. Pochinka :
On the Hersch-Weinberger inequality in higher dimensions
(Preprint) http://arxiv.org/abs/2605.25182 p. 27, 2026

R. Adami, F. Boni, R. Carlone, L. Tentarelli:
NLS ground states on a hybrid plane
J. Differential Equations Vol. 479, N. 114606, 2026

A. Adimurthi, P. Roy, V. Sahu:
Fractional Hardy inequality with singularity on submanifold
Calculus of Variations and Partial Differential Equations Vol. 65, N. 2, p. Paper No. 62, 40, 2026

A. Adimurthi, P. Roy, V. Sahu:
Fractional boundary Hardy inequality for the critical cases
Journal of Functional Analysis Vol. 290, N. 8, p. 63, 2026

C. Afeltra, P. T. Ho, A. Pinamonti:
A non-convergence phenomenon for the CR Yamabe flow
(Preprint) 2026

C. Afeltra, P. T. Ho, A. Pinamonti:
Compactness in Dimension Five and Equivariant Noncompactness for the CR Yamabe Problem
(Preprint) 2026

V. Agostiniani, R. Rossi, G. Savaré:
Singularly Perturbed Gradient Flows and Evolution of Critical Points in Infinite Dimensions
(preprint) http://arxiv.org/abs/2603.17458 2026

G. Alberti, G. Cozzi, A. Massaccesi, J. Mirmina:
Stability of the ball in isoperimetric inequalities between two fractional perimeters
(preprint) http://arxiv.org/abs/2605.07543 2026

Alec Jacopo Almo Schiavoni Piazza, L. Rizzi:
Linear quadratic optimal transport and interpolation inequalities
(preprint) http://arxiv.org/abs/2605.23608 2026

Alec Jacopo Almo Schiavoni Piazza, T. Rossi, A. Socionovo:
Interior singularity and branching of geodesics in real-analytic sub-Riemannian manifolds
(preprint) http://arxiv.org/abs/2603.23068 2026

R. Alicandro, G. Lazzaroni, M. Palombaro, P. Wozniak:
Derivation of linear elasticity from energy functionals with infinitely many wells
(Preprint) 2026

S. Almi, E. Davoli, A. Kubin, E. Tasso:
On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case
Calc. Var. Partial Differential Equations (Accepted Paper) 2026

S. Almi, A. F. Donnarumma, M. Friedrich:
Asymptotic analysis for heterogeneous elastic energies with material voids
(Submitted Paper) http://arxiv.org/abs/2602.17374 2026

S. Almi, R. Durastanti, F. Solombrino:
Mean field first order optimality condition under low regularity of controls
Siam Journal on Control and Optimization (Accepted Paper) http://arxiv.org/abs/2504.00878 2026

S. Almi, A. Kubin, E. Tasso:
Approximation of symmetric total variation on point clouds
(Preprint) 2026

L. Ambrosio, E. Pasqualetto, N. Shanmugalingam:
On the equivalence of BV notions in metric measure spaces
(Preprint) http://arxiv.org/abs/2606.22899 2026

L. Ambrosio, F. Renzi, F. Vitillaro:
The superposition principle for local 1-dimensional currents
Nonlinear Analysis Vol. 262, 2026

L. Ambrosio, G. Somma, S. Verzellesi, D. Vittone:
Renormalization of contact vector fields with horizontal Sobolev regularity in Heisenberg groups
(Preprint) http://arxiv.org/abs/2602.00804 2026

P. Ambrosio:
Gradient bounds for a widely degenerate orthotropic parabolic equation
Nonlinear Differential Equations and Applications NoDEA Vol. 33, N. 105, 2026

P. Ambrosio, S. Ciani, G. Cupini:
Widely degenerate anisotropic diffusion: local boundedness and semicontinuity
(Preprint) http://arxiv.org/abs/2604.20597 2026

C. Amend, M. Carioni, K. Zemas:
Atomic Gradient Flows: Gradient Flows on Sparse Representations
(Submitted Paper) http://arxiv.org/abs/2603.25675 p. 22, 2026

S. Amstutz, T. N. Lê, N. Van Goethem:
Incompatibility-Governed Deformations: Towards a New Model of Small-Strain Elastoplasticity
(Preprint) 2026

F. Ancona, E. Marconi, L. Talamini:
On the structure of entropy dissipation and regularity for quasi-entropy solutions to 1d scalar conservation laws and to isentropic Euler  system with $\gamma=3$
(Preprint) 2026

G. André, R. Tione:
Constancy of the index for gradient mappings
(Submitted Paper) http://arxiv.org/abs/2506.03906 2026

L. Angiuli, S. Ferrari, D. Pallara:
Regularity results for generalised Mehler semigroups in $L^p$ spaces with respect to invariant measures
NoDEA (Accepted Paper) 2026

N. Ansini, A. Tribuzio:
Multiscale analysis and homogenization of nonlocal thin films
(Submitted Paper) http://arxiv.org/abs/2605.05988 2026

G. Antonelli, Y. Li, P. Sweeney:
Rigidity and flexibility under spectral Ricci lower bounds and mean-convex boundary
(preprint) http://arxiv.org/abs/2605.11384 2026

G. Antonelli, K. Xu:
Connected sum of manifolds with spectral Ricci lower bounds
Proceedings of the American Mathematical Society 2026

G. Antonelli, R. Young:
Area of Hölder curves and coarea formula on the Heisenberg group
(preprint) http://arxiv.org/abs/2605.15987 2026

C. A. Antonini, P. Baroni:
Partial regularity for vectorial local-nonlocal problems
(Submitted Paper) 2026

A. Arroyo-Rabasa:
Complex-ellipticity, dimensional estimates and plane wave rigidity in $BV^{\mathbb A}$
(preprint) http://arxiv.org/abs/2606.12061 2026

D. Aruta, F. Prinari, F. Solombrino:
Stochastic homogenization of nonconvex unbounded integral functionals with generalized Orlicz growth
(preprint) http://arxiv.org/abs/2603.29465 2026

A. Aussedat:
Characterization of measures on the real line that are critically unstable under small shifts
(preprint) http://arxiv.org/abs/2603.00775 2026

J. F. Babadjian, M. Rakovsky, R. Rodiac:
Critical points of the two-dimensional Ambrosio-Tortorelli functional with convergence of the phase-field energy
(Submitted Paper) 2026

A. Bach, R. Galleze:
The antiferromagnetic $XY$-model on the layered triangular lattice: Chirality transitions in a rigid regime and dimension reduction
(Preprint) 2026

M. Badran, G. Cozzi:
Uniform small energy regularity for fractional geometric problems
(preprint) http://arxiv.org/abs/2605.06128 2026

M. Bagnara, D. Boutros, C. De Lellis, S. Mayboroda:
Regularity thresholds for anomalous dissipation and related phenomena in passive scalars
(Preprint) http://arxiv.org/abs/2603.11466 2026

A. Baldi, M. Morandotti:
Well-posedness and propagation of chaos for multi-agent models with strategies and diffusive effects
Journal of Differential Equations Vol. 466, p. article no. 114329, 2026

P. Baldi, Giuseppe La Scala, D. A. La Manna:
A rigidity result for the 3D capillary liquid drop with constant vorticity
(preprint) http://arxiv.org/abs/2607.00450 2026

P. Baldi, V. Julin, D. A. La Manna:
Liquid drop with capillarity and rotating traveling waves
Archive for Rational Mechanics and Analysis Vol. 250, p. Article number 4, 2026

P. Baldi, V. Julin, D. A. La Manna:
On the Dirichlet-Neumann operator for nearly spherical domains
(preprint) http://arxiv.org/abs/2603.27865 2026

A. Baradat, S. Cherf:
A convergence rate for the entropic JKO scheme
(preprint) http://arxiv.org/abs/2604.08283 2026

R. Barbato, F. de Giovanni, A. L. Masiello:
The asymptotic behavior of the first Robin eigenvalue with negative parameter as $p$ goes to $+\infty$
Communications in Contemporary Mathematics 2026

D. Barbera, F. Boni, S. Dovetta, L. Tentarelli:
Normalized solutions of one-dimensional defocusing NLS equations with  nonlinear point interactions
Calc. Var. Partial Differential Equations Vol. 65, N. 5, 2026

M. Barchiesi, D. Henao, C. Mora-Corral, R. Rodiac:
A Lavrentiev phenomenon in the neo-Hookean model
(Submitted Paper) http://arxiv.org/abs/2603.22873v1 2026

D. Barilari, T. Bossio, V. Franceschi:
Magnetic flows on 3D contact sub-Riemannian manifolds via the Rumin complex
Transaction of the AMS (Accepted Paper) p. 27, 2026

D. Bartolucci, Y. Hu, A. Jevnikar, J. Wei, W. Yang:
A Lane-Emden system of free boundary type: existence, uniqueness and  monotonicity of solutions
Ann. Sc. Norm. Super. Pisa Cl. Sci. (Accepted Paper) http://arxiv.org/abs/2508.01849 2026

D. Bartolucci, A. Jevnikar, J. Wei, R. Wu:
Sharp spectral estimates for free boundary problems arising in plasma physics
Differential and Integral Equations (Accepted Paper) http://arxiv.org/abs/2604.01895 2026

J. Barton, S. Borza, J. Röhrig:
Ollivier-Ricci curvature for causal sets
(preprint) http://arxiv.org/abs/2606.04910 2026

M. Baştuğ:
Asymptotic rigidity of codimension-1 isometric immersions via quantitative estimates
(Submitted Paper) http://arxiv.org/abs/2604.09387 p. 15, 2026

M. Baştuğ:
Combined effect of homogenization and dimension-reduction in the random Neumann sieve problem
(Submitted Paper) http://arxiv.org/abs/2604.15183 p. 43, 2026

M. Baştuğ:
Rigidity of codimension-1 isometric immersions in complete manifolds
(Submitted Paper) http://arxiv.org/abs/2604.11130 p. 28, 2026

G. Bellettini, V. Lorenzini, M. Novaga, R. Scala:
A fourth-order regularization of the curvature flow of immersed plane curves with Dirichlet boundary conditions
(Submitted Paper) http://arxiv.org/abs/2601.04385 2026

G. Bellettini, V. Lorenzini, M. Novaga, R. Scala:
Concentration effects and $\Gamma$-limit for the elastica functional for open and closed curves
(Preprint) http://arxiv.org/abs/2605.10134 2026

G. Bellettini, R. Marziani, R. Scala:
$\Gamma$-convergence of free discontinuity problems for circle-valued maps in the linear regime
(Preprint) 2026

M. Bellettini, A. Marchese:
A model of anisotropic branched optimal transport
(Preprint) 2026

L. Benatti, A. Pluda:
One thousand and one higher-order geometric flows of networks
(preprint) http://arxiv.org/abs/2607.13894 2026

P. Benitez Sesmilo:
The lens cluster and triod cluster uniquely minimize the anisotropic perimeter in $\mathbb{R}^2$
(Preprint) http://arxiv.org/abs/2604.03510 p. 22, 2026

K. Bessas, S. Guarino Lo Bianco, R. Schiattarella:
Generalized BMO-type seminorms and vector-valued Sobolev functions
(Submitted Paper) http://arxiv.org/abs/2603.26234 2026

G. Bevilacqua, C. Lonati, L. Lussardi, A. Marzocchi:
A variational analysis of nematic axisymmetric films: the covariant  derivative case
Calc. Var. Partial Differential Equations 2026

G. Bevilacqua, C. Lonati, L. Lussardi, A. Marzocchi:
Existence and uniqueness of minimizers for axisymmetric nematic films
(preprint) http://arxiv.org/abs/2601.09348 2026

F. Bianchi, G. Stefani, A. C. Zagati:
A geometrical approach to the sharp Hardy inequality in Sobolev-Slobodeckiĭ spaces
Nonlinear Anal. Vol. 263, p. Paper No. 113948, 2026

S. Bianchini, L. Talamini:
Measure preserving maps with bounded total variation
(Preprint) 2026

S. Bianchini, C. Trifone:
Traveling profiles and control cost for a PDE describing the evolution of invasive species
(preprint) http://arxiv.org/abs/2606.23979 2026

I. Birindelli, A. Briani, H. Ishii:
Fully nonlinear elliptic PDEs in thin domains with oblique boundary  condition
SIAM Journal on Mathematical Analysis Vol. 58, N. 2, p. 232-125, 2026

M. Bonafini, V. P. C. Le, R. Molinarolo:
On fractional semilinear wave equations in non-cylindrical domains
Journal of Mathematical Analysis and Applications (Accepted Paper) 2026

G. Bonfanti, E. Davoli, R. Rossi, M. Thomas:
From  damage to  delamination via evolutionary Gamma-convergence in a rate-independent  quasibrittle regime
(Submitted Paper) 2026

E. Bonnet-Weill, V. Ehrlacher, L. Nenna:
A reduced-order model for parametrized Optimal Transport problems
(Preprint) 2026

W. Borrelli, P. Carimati, D. Fermi:
On two-dimensional Dirac operators with critical delta-shell interactions
J. Math. Anal. Appl. Vol. 564, N. 1, 2026

W. Borrelli, U. Morellini:
The Pauli-Villars-regularized Dirac vacuum in electromagnetic fields at positive temperature
(preprint) http://arxiv.org/abs/2601.16743 2026

W. Borrelli, R. Wu:
On the nodal set of solutions to Dirac equations
J. Geom. Anal. (Submitted Paper) http://arxiv.org/abs/2312.07918 p. 34, 2026

S. Borza, A. Pinamonti, O. Zoghlami:
Constant mean curvature surfaces in the sub-Lorentzian Heisenberg group
(Preprint) 2026

D. Bourne, M. Buze, T. Gallouët, Q. Mérigot:
Polynomial diagrams for microstructure modelling
(Submitted Paper) 2026

D. Bourne, C. Egan, T. Lavier, B. Pelloni:
Semi-discrete optimal transport techniques for the compressible semi-geostrophic equations
SIAM Journal on Mathematical Analysis Vol. 58, N. 3, p. 3008-3047, 2026

D. Bourne, T. Gallouët, Q. Mérigot, A. Natale:
Semi-discrete convex order and Laguerre tessellation fitting
(Submitted Paper) 2026

D. Bourne, B. Schmitzer, B. Wirth:
Semi-discrete unbalanced optimal transport and quantization
European Journal of Applied Mathematics Vol. 37, N. 4, p. 925-967, 2026

L. Braglia, L. Brasco:
Regularity for eigenvalue-type equations in sets with thick complement
(Preprint) p. 41, 2026

A. Braides, G. Dal Maso, C. Le Bris:
A closure theorem for $\Gamma$-convergence and H-convergence with applications to non-periodic homogenization
Ann. Inst. H. Poincaré Anal. Non Linéaire Vol. 43, p. 239--271, 2026

A. Braides, G. Dal Maso, C. Le Bris:
A variational approach to the stability in the homogenization of some Hamilton-Jacobi equations
SIAM J. Math. Anal. Vol. 58, N. 2, p. 1744-1771, 2026

A. Braides, A. Z. U. Komilov:
Homogenization in fractional phase transitions at the critical scale
Nonlinear Analysis (Accepted Paper) http://arxiv.org/abs/2606.08134 2026

A. Braides, A. Pinamonti, M. Solci:
Dimension reduction of fractional Sobolev seminorms on thin domains
(Preprint) 2026

L. Brasco, L. Briani, G. Franzina:
Essential spectrum for the $p-$Laplacian
(Preprint) p. 35, 2026

L. Brasco, L. Briani, F. Prinari:
Extremals for sharp Poincaré-Sobolev inequalities: periodically perforated sets and beyond
J. Differential Equations (Accepted Paper) p. 40, 2026

L. Brasco, L. Briani, F. Prinari:
Low eigenvalues of the $p-$Laplacian in general open sets
(Preprint) p. 38, 2026

D. Brazke, G. Götzmann, H. Knüpfer:
$\Gamma$-Convergence of Higher-Order Phase Transition Models
Nonlinear Analysis Vol. 263, N. 113971, 2026

A. Briani:
On Hamilton Jacobi equations with time measurable Hamiltonians posed on a 1-dimensional junction
(preprint) http://arxiv.org/abs/2603.04183 2026

G. Brigati, G. Carlier, J. Dolbeault, F. Quattrocchi:
Nonlinear kinetic Fokker-Planck equations as gradient flows of the free energy
(preprint) http://arxiv.org/abs/2606.16315 2026

C. Brizzi, L. De Pascale, A. Kausamo:
A regularized transportation cost stemming from entropic approximation
Analysis and Applications 2026

C. Brizzi, G. Friesecke, T. Ried:
$h$-Wasserstein barycenters
Journal of Mathematical Analysis and Applications Vol. 553, 2026

C. Brizzi, L. Portinale:
On the $q$-integrability of $p$-Wasserstein barycenters
(preprint) http://arxiv.org/abs/2602.18293 2026

C. Brune, M. Carioni, L. Del Grande:
A Dual Certificate Approach to Sparsity in Infinite-Width Shallow Neural Networks
(preprint) http://arxiv.org/abs/2603.17785 2026

C. Brune, M. Carioni, L. Del Grande, A. Massucco, C. B. Schönlieb:
Multi-Headed Transformer Architectures as Time-dependent Wasserstein Gradient Flows
(preprint) http://arxiv.org/abs/2605.18870 2026

C. Brune, J. A. Iglesias, J. Tengler:
Manifold limit for the training of shallow graph convolutional neural networks
(preprint) http://arxiv.org/abs/2601.06025 2026

G. C. Brusca, M. Caponi, A. Carbotti, A. Maione, F. Paronetto:
$H$-convergence and $\Gamma$-convergence in the Riesz fractional setting: the nonlinear case
(Submitted Paper) http://arxiv.org/abs/2607.06725 p. 34, 2026

G. C. Brusca, D. Donati, S. Scalabrino, C. Trifone, E. Voglino:
$Γ$-convergence of convolution-type functionals for free discontinuity problems
(Submitted Paper) http://arxiv.org/abs/2603.24192 2026

E. Bruè, M. Colombo, G. De Philippis, C. J. P. Johansson:
Regularity estimates in transport equations via heat flow and quantitative differentiation
(preprint) http://arxiv.org/abs/2607.13751 2026

B. Bulanyi:
On the equivalence of static and dynamic weak optimal transport
Comptes Rendus Mathématique 2026

L. Bungert, L. Schmitt:
Duality for the Adversarial Total Variation
(preprint) http://arxiv.org/abs/2604.18540 2026

L. Bungert, F. del Teso:
Convergence rates of the fractional to the local Dirichlet problem
Journal of Differential Equations 2026

G. Buttazzo, J. Casado-Diaz, F. Maestre:
Optimization problems for elliptic PDEs
(Preprint) 2026

G. Buttazzo, S. Cito, F. Solombrino:
Relations between principal eigenvalue and torsional rigidity with Robin boundary conditions
Milan Journal of Mathematics 2026

G. Buttazzo, R. Fernandes Horta:
On the relations between fundamental frequency and torsional rigidity in the case of anisotropic energies
(Preprint) 2026

G. Buttazzo, R. Ognibene:
Asymptotics of nonlinear Robin energies
Proc. Am. Math. Soc. (Accepted Paper) http://arxiv.org/abs/2506.06914 2026

M. Buzancic, P. Hernandez-Llanos, I. Velčić, J. Zubrinic :
Poroelastic plate model obtained by simultaneous homogenization and dimension reduction
Journal of Evolutions Equations Vol. 26, N. 12, p. 88, 2026

X. Cabré, G. Catino, L. Mari, P. Mastrolia, A. Roncoroni:
Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in $\mathbb{R}^4$
(Preprint) 2026

F. Cagnetti, G. Domazakis, M. Perugini, F. Seuffert:
Rigidity for the Pólya-Szegö inequality under circular rearrangement
(Preprint) 2026

T. Caillet, F. Coudreuse:
Generalized Logarithmic Sobolev Inequality by the JKO Scheme
(preprint) http://arxiv.org/abs/2601.16620 2026

F. Camilli, A. Festa, L. Marzufero:
A network model for urban planning
Journal of Optimization Theory and Applications Vol. 209, N. 33, p. 34, 2026

F. Camilli, A. Festa, L. Marzufero:
Approximation of viscous transport and conservative equations with one sided Lipschitz velocity fields
SIAM Journal on Numerical Analysis Vol. 64, N. 3, p. 29, 2026

A. Cances, Q. Mérigot, L. Nenna:
Particle method for a nonlinear multimarginal optimal transport problem
(preprint) http://arxiv.org/abs/2603.25584 2026

A. Cances, L. Nenna, D. Omarov, B. Pass:
Ordinary differential equations for regularized variational problems involving semi-discrete optimal transport
(Preprint) 2026

G. Canevari, F. L. Dipasquale, B. Stroffolini:
Liftings of Sobolev maps into closed Riemannian manifolds via double coverings and minimal connections relative to planar sets, with an application to ferronematics
(preprint) http://arxiv.org/abs/2603.01985 2026

G. Canevari, F. L. Dipasquale, B. Stroffolini:
The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics - Part I: Energy estimates and compactness results
(Preprint) 2026

G. Canevari, F. L. Dipasquale, B. Stroffolini:
The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics Part II: Refined structure of the energy-concentration set
(Preprint) 2026

G. Canevari, H. Fu, W. Wang:
Asymptotics of Minimizers for Ginzburg--Landau-type Functionals in High Dimensions
(preprint) http://arxiv.org/abs/2605.04442 2026

G. Canevari, G. Orlandi:
Topological singular set of manifold-valued maps weakly approximable by smooth maps
(preprint) http://arxiv.org/abs/2605.28622 2026

N. Cangiotti, I. Gallo, D. Spitzkopf:
Nonlinear Schrödinger Equation with magnetic potential on metric graphs
(preprint) http://arxiv.org/abs/2601.23115 2026

M. Caponi:
A Survey on the Div-Curl Lemma and Some Extensions to Fractional Sobolev Spaces
To appear as book chapter in "New Frontiers in Homogenization and Fractional Calculus" (Accepted Paper) http://arxiv.org/abs/2509.11734 p. 19, 2026

E. Caputo, N. Cavallucci, T. Ikonen:
Sobolev-to-Lipschitz property of geodesically complete spaces with curvature bounded from above
(preprint) http://arxiv.org/abs/2606.24374 2026

E. Caputo, A. Gerolin, N. Monina, P. Pelikh, L. Portinale:
Quantum thermodynamics and semidefinite programming: regularization and algorithms
(Preprint) http://arxiv.org/abs/2602.23144 2026

F. Caragiulo, S. Scalabrino, E. Voglino:
Homogenization in one-dimensional higher-order non-local models of phase transitions
Ricerche di Matematica 2026

S. Carano, N. Katzourakis, R. Moser:
Energy maximum principle for vectorial higher order absolute minimisers
(Preprint) 2026

S. Carano, N. Katzourakis, R. Moser:
Existence, uniqueness and characterisation of vector-valued absolute minimisers for a second order $L^\infty$-variational problem
Advances in Calculus of Variations (Accepted Paper) http://arxiv.org/abs/2504.04181 2026

S. Carano, R. Moser:
An $L^\infty$-variational problem involving the Fractional Laplacian
Nonlinear Analysis (Accepted Paper) http://arxiv.org/abs/2510.14476v2 2026

D. Carazzato, N. Fusco, A. Pratelli:
Continuity of critical points for 1-dimensional non-local energies
Adv. Calc. Var. 2026

D. Carazzato, A. Pratelli, I. Topaloglu:
Particle approximation of nonlocal interaction energies
Nonlinear Analysis Vol. 263, 2026

A. Carbotti:
A Brunn-Minkowski inequality for Schrödinger operators with Kato class potentials
(Submitted Paper) http://arxiv.org/abs/2603.29989 p. 15, 2026

A. Carbotti:
The Pólya-Szegö principle in the fractional setting: a glimpse on nonlocal functional inequalities
To appear as bookchapter in "New Frontiers in Homogenization and Fractional Calculus" (Accepted Paper) http://arxiv.org/abs/2509.12023 p. 24, 2026

A. Carbotti, S. Cito, D. A. La Manna, A. Pratelli, G. Stefani:
On the approximation of finite perimeter sets
(Submitted Paper) http://arxiv.org/abs/2603.18984 2026

M. Carducci, G. Tortone:
Smoothness and stability in the Alt-Phillips problem
Mathematische Annalen 2026

M. Carducci, G. Tortone:
Uniqueness of the blow-up for some Alt-Phillips cones
(preprint) http://arxiv.org/abs/2606.17015 2026

M. Carioni, L. Del Grande:
A General Theory for Exact Sparse Representation Recovery in Convex Optimization
Information and Inference: A Journal of the IMA 2026

M. Carioni, L. Del Grande, J. A. Iglesias, H. Schönberger:
Nonlocal perimeters and variations: Extremality and decomposability for  finite and infinite horizons
Calculus of Variations and Partial Differential Equations 2026

L. Carrero, P. Hernandez-Llanos:
Kirchhoff-type equations involving the fractional $(p, q)−$laplacian
Journal of Mathematical Analysis and Applications Vol. 558, N. 2, 2026

M. Caselli, M. Freguglia, N. Picenni:
Another look at a notion of fractional mass in codimension two
(Preprint) http://arxiv.org/abs/2607.00810 p. 52, 2026

M. Caselli, L. Gennaioli:
A new Duhamel-type principle with applications to geometric (in)equalities
(Submitted Paper) 2026

M. Caselli, N. Picenni:
Saddle solution to the complex Ginzburg-Landau system in three  dimensions
J. Differential Equations Vol. 467, 2026

G. Catino, P. Mastrolia, D. D. Monticelli:
Uniqueness of critical metrics for a quadratic curvature functional
J. Math. Pures Appl. Vol. 211, p. 103883, 2026

G. Catino, D. D. Monticelli:
Semilinear elliptic equations on manifolds with nonnegative Ricci curvature
J. Eur. Math. Soc. Vol. 28, N. 1, p. 359-392, 2026

G. Catino, D. D. Monticelli, A. Roncoroni:
Quasilinear Liouville equation on manifolds with nonnegative Ricci curvature
(Submitted Paper) 2026

G. Catino, D. D. Monticelli, A. Roncoroni:
Rigidity of solutions to singular/degenerate semilinear critical equations
J. Funct. Anal. Vol. 291, p. 111538, 2026

F. Cavalletti, A. Mondino:
A singularity theorem in terms of asymptotic expansion
(Submitted Paper) http://arxiv.org/abs/2606.11825 2026

L. Cavallina, A. Pinamonti:
A discrete-time overdetermined problem for the heat equation
(Preprint) 2026

P. Cesana, E. Fabbrini, A. A. León Baldelli, M. Morandotti:
Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation
(Submitted Paper) 2026

A. Cesaroni, I. Fragalà, M. Novaga:
A note on the honeycomb optimality among periodic convex tilings
Journal of Convex Analysis Vol. 33, N. 1&2, p. 421-428, 2026

A. Cesaroni, M. Novaga:
Local minimality of the truncated octahedron for the isoperimetric problem on parallelohedra
(Submitted Paper) http://arxiv.org/abs/2603.27221 2026

A. Chambolle, V. Crismale:
A characterization of Generalized functions of Bounded Deformation
J. Funct. Anal. Vol. 290, N. 9, p. Art. n. 111391, 2026

A. Chambolle, D. De Gennaro, M. Morini:
Elementary discrete diffusion/redistancing schemes for the mean  curvature flow
Ann. Inst. H. Poincaré C Anal. Non Linéaire (Accepted Paper) http://arxiv.org/abs/2506.05946 2026

D. Cherkashin, P. Prozorov, Y. Teplitskaya:
Universal Ahlfors--David regularity of Steiner trees
(Submitted Paper) http://arxiv.org/abs/2602.11294 2026

G. Chiriatti, M. Fasiello, R. Grande:
A new class of self referred equations with a nonlocal boundary condition
(Accepted Paper) 2026

G. Ciampa, A. Goffi:
On the rate of the vanishing viscosity approximation for Mean Field Games with nonlocal coupling
(Preprint) http://arxiv.org/abs/2607.07526 2026

M. Cicalese, L. Kreutz, I. Mansoor:
Discrete Quantitative Isocapacitary Inequality: Fluctuation Estimates
(Preprint) p. 27, 2026

M. Cicalese, D. Reggiani, F. Solombrino:
From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^1$ to $S^2$ limit
Interfaces and Free Boundaries 2026

E. Cinti, M. Talluri:
On a fractional semilinear Neumann problem arising in Chemotaxis
Journal of Differential Equations (Accepted Paper) http://arxiv.org/abs/2507.12181 Vol. 452, 2026

S. Cito:
Optimality and stability of the radial shapes for the Sobolev trace constant
Nonlinear Analysis 2026

G. Citti, N. Dirr, F. Dragoni, R. Grande:
Horizontal mean curvature flow as a scaling limit of a mean field  equation in the Heisenberg group
2026

F. Colasanto, M. Focardi, M. Fornasier, F. Mattesini:
Sharp Rates of MMD Empirical Estimation with Power Kernels
(preprint) http://arxiv.org/abs/2605.18497 2026

G. E. Comi, V. De Cicco, G. Scilla:
Beyond $BV$: new pairings and Gauss-Green formulas for measure fields with divergence measure
Communications in Contemporary Mathematics (Accepted Paper) 2026

S. Conti, V. Crismale, A. Garroni, A. Malusa:
Phase-field approximation of sharp-interface energies accounting for lattice symmetry
(preprint) http://arxiv.org/abs/2601.07497 2026

R. Continolo, V. Lorenzini, R. Scala, G. Scianna:
Regularity of minimizers of convex functionals with linear growth and small fidelity term
(Preprint) 2026

A. Corbisiero, C. Leone, C. Mantegazza:
Quasiconvexity in the Riemannian Setting
Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl. (Accepted Paper) 2026

A. Cosenza, M. Goldman, M. Koser:
New dimensional bounds for a branched transport problem
SIMA 2026

A. Cosenza, M. Goldman, F. Otto:
Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models
(preprint) http://arxiv.org/abs/2605.11834 2026

S. Coste, M. Goldman:
The Wasserstein cost of importance sampling
(Preprint) 2026

F. Coudreuse:
An Aronson-Bénilan / Li-Yau estimate in the JKO scheme in small dimension
(Preprint) http://arxiv.org/abs/2604.04169 2026

G. Crasta, V. De Cicco, A. Malusa:
Divergence of the composition of irregular fields with BV functions
(Submitted Paper) 2026

V. Crismale, L. De Luca, R. Scala:
Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes
Calc. Var. Partial Differential Equations Vol. 65, N. 5, 2026

V. Crismale, M. Friedrich:
Quasistatic evolution of cohesive-type fracture
(preprint) http://arxiv.org/abs/2607.02261v1 2026

G. Cristinelli, J. A. Iglesias:
Towards sparse optimization over convex loops: Equivalence of Square Root Velocity distance and Wasserstein-Fisher-Rao
(preprint) http://arxiv.org/abs/2603.22009 2026

R. Cristoferi, L. D'Elia:
First-order homogenization
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics Vol. 35, N. 1, 2026

R. Cristoferi, J. Deutsch, L. Pignatelli:
Low regularity potentials in heterogeneous Cahn--Hilliard functionals
(Submitted Paper) http://arxiv.org/abs/2603.25369 2026

R. Cristoferi, Devin van der Gulik:
Optimal constant for the trace inequality in $BV$ for domains with corners
(preprint) http://arxiv.org/abs/2604.13770 2026

R. Cristoferi, G. Fissore, M. Morandotti:
Geometrically constrained walls in three dimensions
Advances in Mathematical Sciences and Applications Vol. 35, N. 1, p. 201-241, 2026

A. Cucinotta, M. Magnabosco, D. Semola:
New Topological Restrictions For Spaces With Nonnegative Ricci Curvature
(preprint) http://arxiv.org/abs/2601.14231 2026

M. D'Achille, F. Mattesini, D. Trevisan:
Concentration for random Euclidean combinatorial optimization
(preprint) http://arxiv.org/abs/2602.21851 2026

L. D'Arca, L. Fanelli, V. Franceschi, D. Prandi:
Unweighted Hardy inequalities on the Heisenberg group and in step-two Carnot groups
(Preprint) http://arxiv.org/abs/2603.04086 2026

G. Dal Maso, D. Donati:
$Γ$-convergence and homogenisation for free discontinuity functionals with linear growth in the space of functions with bounded deformation
(Submitted Paper) http://arxiv.org/abs/2601.19591 2026

E. Davoli, J. Deutsch, M. Friedrich, K. Stinson:
Solid-solid phase transitions with space-dependent wells
(preprint) http://arxiv.org/abs/2607.15133 2026

E. Davoli, A. Fanizza, M. Picerni:
Closing the gap: Maz'ya-Shaposhnikova and asymptotics of fractional perimeters
(Submitted Paper) 2026

E. Davoli, U. Stefanelli:
Level sets of solutions to the stationary Hamilton-Jakobi equation are John regular
Journal of Differential Equations (Accepted Paper) 2026

V. De Cicco, G. Scilla:
A slicing approach to stress-strain duality
(Preprint) 2026

V. De Cicco, G. Scilla:
Gauss-Green formulas for divergence measure tensor fields on rough domains
(Submitted Paper) http://arxiv.org/abs/2607.11467v1 2026

F. De Filippis, A. Nastasi, C. Pacchiano Camacho:
Partial regularity for double phase obstacle problems
Journal of Differential Equations Vol. 472, 2026

C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard:
Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem
J. Funct. Anal. Vol. 290, N. 12, 2026

C. De Lellis, M. P. Reza:
The geometry of flat $C^{1,\alpha}$ isometric immersions
Proc. Roy. Soc. Edinburgh Sect. A Vol. 156, N. 2, p. 397-435, 2026

L. De Masi, A. Marchese:
Lipschitz solvability of prescribed Jacobian and divergence for singular measures
(Preprint) 2026

L. De Pascale, L. Nenna:
A variational formulation of a Multi-Population Mean Field Games with non-local interactions
Nonlinear Differential Equations and Applications NoDEA. (Accepted Paper) 2026

A. De Rosa, A. Halavati, L. Wang:
Min-Max Construction of Anisotropic Minimal Surfaces with Genus Bound
(Submitted Paper) http://arxiv.org/abs/2606.30098 2026

A. De Rosa, A. Khajavirad, Y. Wang:
On the power of linear programming for K-means clustering
INFORMS J. Optim. 2026

F. Deangelis, M. Focardi, C. I. Zeppieri:
Stochastic homogenization of fractional obstacle problems
(Submitted Paper) 2026

G. Del Nin:
Boundary rectifiability and compactness of integral currents via $BV$ functions
(preprint) http://arxiv.org/abs/2606.11185 2026

G. Del Nin, D. Faraco, S. Lindberg, F. Mengual :
Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation
(preprint) http://arxiv.org/abs/2605.20451 2026

M. Della Rossa, L. Freddi:
Pattern-preserving optimal control problems with increasing time horizon
ESAIM: COCV Vol. 31, N. 102, 2026

M. Della Rossa, L. Freddi, Thiago Alves Lima:
Pattern preservation in finite to infinite-horizon optimal control problems for dissipative systems
(preprint) http://arxiv.org/abs/2602.14944 2026

J. Deutsch, S. Riccò:
A regularity result for $BV^{\mathcal{A}}(\Omega)$
(Submitted Paper) 2026

G. Di Fratta:
A Classical Elliptic Regularity Approach to Almost Harmonic Maps and Related Systems
(Preprint) p. 59, 2026

M. Di Marco, S. Don, D. Vittone:
SBV functions in Carnot-Carathéodory spaces
Nonlinear Anal. Vol. 262, p. 113944, 2026

M. Di Marco, M. Iacobelli:
Quantization of measures in Carnot groups
(preprint) http://arxiv.org/abs/2606.09373 2026

M. Di Marco, G. Somma, D. Vittone:
A note on the diameter of small sub-Riemannian balls
Anal. Geom. Metr. Spaces Vol. 14, N. 1, p. Paper No. 20250037, 2026

S. Di Marino, S. Farinelli, E. Naldi:
On the stability of proximal operators in Wasserstein spaces under different notions of convexity
(preprint) http://arxiv.org/abs/2607.08209 2026

A. Diana, N. Fusco, C. Mantegazza:
Stability for the Surface Diffusion Flow
Calc. Var. PDE Vol. 65, N. 1, p. Paper No. 6, 34 pp., 2026

S. Dipierro, M. Novaga, E. Valdinoci, R. Villa:
Non-local planelike minimizers and  $\Gamma$-convergence of periodic energies to a local anisotropic perimeter
(Submitted Paper) http://arxiv.org/abs/2601.08677 2026

S. Dipierro, E. Valdinoci, R. Villa:
$Γ$-convergence of the non-local Massari functional and applications to inhomogeneous Allen-Cahn equations
Calculus of Variations and Partial Differential Equations 2026

S. Dipierro, E. Valdinoci, R. Villa:
On non-local almost minimal sets and an application to the non-local Massari's Problem
Journal de Mathématiques Pures et Appliquées 2026

D. Donati, M. Friedrich:
Structured deformations for energies with general surface terms
(Submitted Paper) http://arxiv.org/abs/2606.10556 2026

S. Dovetta, E. Serra, L. Tentarelli:
Non-uniqueness of normalized NLS ground states on polygons with homogeneous Neumann boundary conditions
Discrete Contin. Dyn. Syst. Vol. 53, p. 263-286, 2026

J. Duran Lamiel:
Eigenvalue bounds for quantum dot Dirac operators
(preprint) http://arxiv.org/abs/2605.30228 2026

R. Durastanti, L. Giacomelli:
Advancing fronts for the thin-film equation with null slip and repulsive potentials: the case of partial wetting
(Submitted Paper) 2026

S. Dweik:
Smoothness of the free boundary in a weighted p-Laplacian problem
Pure and Applied Analysis (Accepted Paper) 2026

V. Ehrlacher, R. Lelotte, L. Nenna:
A land of monotone plenty, bis repetita: from classical to weak optimal transport
(Preprint) 2026

C. Elbar:
Global existence for a system without self-diffusion and different mobilities
(preprint) http://arxiv.org/abs/2604.14775 2026

D. Engl, C. Kreisbeck, M. Morandotti:
Characterizing BV- and BD-ellipticity for a class of positively  1-homogeneous surface energy densities
J. Convex Anal. Vol. 33, N. 1&2, p. 29-55, 2026

L. Esposito, L. Lamberti:
Morrey estimates for the gradient in non-linear variational transmission problems
(Preprint) 2026

F. Farroni, G. Pascale:
Long-time behavior of solutions to nonlinear parabolic problems with irregular obstacles
Nonlinear Analysis Vol. 272, N. 114175, 2026

M. Fathi, I. Y. Violo:
Quantitative stability in distribution for the Sobolev inequality under curvature dimension condition
(preprint) http://arxiv.org/abs/2607.05304 2026

Q. Fei, A. Jevnikar, S. H. Moon:
Critical sinh-Gordon flow with non-negative weight functions
J. Math. Anal. Appl. (Accepted Paper) http://arxiv.org/abs/2511.03624 2026

V. Felli, L. Liverani, R. Ognibene:
On the splitting of Neumann eigenvalues in perforated domains
(preprint) http://arxiv.org/abs/2601.13129 2026

X. Fernández-Real, E. Florit-Simon, J. Serra:
Finite index solutions to the Bernoulli problem in three dimensions are axially symmetric
(preprint) http://arxiv.org/abs/2605.07913 2026

X. Fernández-Real, E. Florit-Simon, J. Serra:
Improvement of flatness in annuli
(preprint) http://arxiv.org/abs/2605.11110 2026

L. Ferreri, I. Mazari-Fouquer, R. Prunier:
Unstable free boundary problems in optimal control theory: existence and regularity
(preprint) http://arxiv.org/abs/2605.00694 2026

L. Ferreri, D. Mazzoleni, B. Pellacci, G. Verzini:
Asymptotic  location and shape of the optimal favorable region  in a  Neumann spectral problem
J. Math. Pures Appl. 2026

L. Ferreri, L. Spolaor, B. Velichkov:
Fine structure of the two-phase Bernoulli free boundaries in 2D
(preprint) http://arxiv.org/abs/2604.23843 2026

E. Ficola, T. Schmidt:
Existence theory for linear-growth variational integrals with signed measure data
Adv. Calc. Var. Vol. 19, N. 1, p. 97-129, 2026

E. Ficola, T. Schmidt:
Lower semicontinuity and existence results for anisotropic TV functionals with signed measure data
J. Funct. Anal. Vol. 290, N. 8, 2026

Filippa Lo Biundo, F. Tripaldi:
Pansu pullback and spectral complexes
(preprint) http://arxiv.org/abs/2603.22134 2026

F. Fiorani, A. Mondino, D. Semola:
Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces
Comment. Math. Helv. Vol. 101, N. 2, p. 193--238, 2026

G. Fioravanti, N. Soave, G. Tortone:
Optimal partition and segregation problems driven by torsional rigidity
(preprint) http://arxiv.org/abs/2606.25912 2026

A. Fiorini:
Local and global minimality of the lamella for the anisotropic Ohta-Kawasaki energy
(preprint) http://arxiv.org/abs/2604.13736 2026

B. Firester, R. Tsiamis:
New minimal surfaces in the sphere from capillary minimal cones
(preprint) http://arxiv.org/abs/2602.20124 2026

B. Firester, R. Tsiamis:
Topology of minimal surfaces in the sphere from capillarity
(preprint) http://arxiv.org/abs/2604.04928 2026

B. Firester, R. Tsiamis, Y. Wang:
Area-minimizing capillary cones
(preprint) http://arxiv.org/abs/2601.18794 2026

B. Firester, R. Tsiamis, Y. Wang:
Stability inequalities for one-phase cones
(preprint) http://arxiv.org/abs/2601.16966 2026

B. Firester, R. Tsiamis, Y. Wang:
Uniqueness of Cylindrical Tangent Cones $C_{p,q} \times \mathbb{R}$
Calc. Var. PDE Vol. 65, N. 165, 2026

E. Florit-Simon:
Equivalence of intrinsic and extrinsic area bounds for minimal surfaces
(preprint) http://arxiv.org/abs/2605.06468 2026

E. Florit-Simon:
Phase transitions with bounded index: Parallels to De Giorgi's conjecture
(preprint) http://arxiv.org/abs/2602.03136 2026

M. Fogagnolo, G. Gatti, A. Pluda:
Scalar curvature bounds for 3D continuous metrics through the Inverse Mean Curvature Flow
(Preprint) 2026

M. Fogagnolo, A. Pinamonti, S. Verzellesi:
Unexpected phenomena for mean curvature functionals in the Heisenberg group
(Preprint) http://arxiv.org/abs/2605.29912 2026

M. Friedrich, L. Kreutz, K. Zemas:
Derivation of Kirchhoff-type plate theories for elastic materials with voids
Journal de Mathématiques Pures et Appliquées (Accepted Paper) Vol. 209, 2026

M. Friedrich, J. Matias, E. Zappale:
Structured Deformation in Linearized Elasticity
(Preprint) 2026

I. Ftouhi, E. Martinet:
Numerical exploration of the range of shape functionals using neural networks
(Preprint) 2026

K. Fässler, A. Pinamonti, K. Zambanini:
On low-dimensional uniform rectifiability  in Heisenberg groups
(Preprint) 2026

M. Garatti, L. Nenna, S. Rota Nodari, L. Tamanini:
A PDE approach to Benamou--Brenier formula for the Schrödinger problem
(Preprint) http://arxiv.org/abs/2604.26023 2026

L. Gennaioli:
Sets of finite perimeter on Riemannian manifolds and stochastic completeness
(Submitted Paper) 2026

L. Gennaioli, G. Stefani:
Sharp conditions for the BBM formula and asymptotics of heat content-type energies
Arch. Ration. Mech. Anal. 2026

M. Ghosh, A. Hyder:
Bol's type inequality for singular metrics and its application to prescribing Q-curvature problems
(Preprint) http://arxiv.org/abs/2512.24828 p. 24, 2026

M. Ghosh, A. Kachmar:
Isoperimetric inequality with zero magnetic field in doubly connected  domains
Math. Nachr. Vol. 299, N. 1230–1240, p. 11, 2026

L. Giacomelli, G. Gruen, J. Utley:
Integral inequalities for the thin-film equation in multiple space dimension: improvements and applications
(Preprint) 2026

N. Gigli, F. Rott, M. Zanardini:
PDE aspects of the dynamical optimal transport in the Lorentzian setting
(preprint) http://arxiv.org/abs/2601.13167 2026

D. Giovagnoli, D. Jesus:
A fully nonlinear transmission problem degenerating on the interface
Calculus of Variations and Partial Differential Equations 2026

D. Giovagnoli, D. Jesus:
Regularity results in elliptic and parabolic transmission problems
Bruno Pini Mathematical Analysis Seminar 2026

D. Giovagnoli, E. M. Merlino, D. Moreira:
A quantitative Hopf-Oleinik lemma for degenerate fully nonlinear operators and applications to free boundary problems
La Matematica 2026

G. Giovannardi, A. Goffi:
Transport-diffusion equations with irregular data and applications to stability estimates for second-order Hamilton-Jacobi PDEs
(Preprint) http://arxiv.org/abs/2602.07969 2026

M. Gobbino, N. Picenni:
Symmetry breaking for local minimizers of a free discontinuity problem
Calc. Var. PDE Vol. 65, 2026

A. Goffi:
Quantitative maximal L^2-regularity for viscous Hamilton-Jacobi PDEs in 2D and Mean Field Games
(Preprint) http://arxiv.org/abs/2603.09515 2026

M. Goldman, M. Novaga, A. Prade:
Young's law for a nonlocal isoperimetric model of charged capillarity droplets
(Submitted Paper) http://arxiv.org/abs/2603.24483 2026

M. Goldman, M. Novaga, B. Ruffini:
A charged liquid drop model with Willmore energy
Comm. Anal. Geom. (Accepted Paper) http://arxiv.org/abs/2409.01045 2026

R. Grande, S. Krömer, M. Kruzik, G. Tomassetti:
Homogenization of magnetoelastic materials with rigid magnetic inclusions at small strains
Journal of Nonlinear Science 2026

M. Griffin-Pickering, A. R. Mészáros:
Hölder continuity for non-coercive Hamilton-Jacobi equations associated to linear control systems
(Preprint) http://arxiv.org/abs/2605.05490 2026

A. Grigor'yan, G. Meglioli, A. Roncoroni:
Rigidity for the heat equation with density on Riemannian manifolds  through a conformal change
Proc. Roy. Soc. Edinburgh Sect. A 2026

G. Gu, A. Jevnikar, Z. Yang:
Isolated Singularities for Fractional Hartree Equations
(preprint) http://arxiv.org/abs/2606.10990 2026

A. Guerra , X. Lamy , K. Zemas:
Some lifting and approximation properties for maps in $W^{1,2}(\mathbb B^3;\mathbb S^2)$
(Submitted Paper) http://arxiv.org/abs/2605.14507 2026

A. Guerra, X. Lamy, K. Zemas:
Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant
Communications in Mathematical Physics (Accepted Paper) 2026

A. Guerra, R. Tione:
Stationary points of conformally invariant polyconvex energies
(Submitted Paper) http://arxiv.org/abs/2606.10586 2026

N. Guglielmi, F. P. Maiale:
Gripenberg-like algorithm for the lower spectral radius
SIAM J. Matrix Anal. Appl. Vol. 47, N. 1, 2026

B. Han:
Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit
(Preprint) p. 26, 2026

B. Han:
Sharp and rigid isoperimetric inequalities in metric  measure spaces with non-negative Ricci curvature
Science China Mathematics (Accepted Paper) 2026

B. Han, D. Liu:
Wasserstein Barycenter Convexity Detects Hilbertian Geometry
(Preprint) 2026

B. Han, L. Yin:
Weak Quadruple Comparison and Structure Theory beyond Alexandrov Geometry
(Preprint) 2026

B. Han, Z. Zhu:
Quantitative Stability of Wasserstein Barycenters over Alexandrov Spaces with Lower Curvature Bounds
(Preprint) 2026

B. Han, Z. Zhu:
Sharp Poincaré Interpolation Along Wasserstein Geodesics
(preprint) http://arxiv.org/abs/2607.10769 2026

B. Han, Z. Zhu:
Stability of optimal transport on metric measure spaces
(Preprint) 2026

B. Han, Z. Zhu:
Two-mode stability for multi-marginal optimal transport maps
(Preprint) 2026

Z. Huang, W. H. Klingenberg:
Smirnov Decomposition of a Horizontal Vector Charge in the Heisenberg Group
(preprint) http://arxiv.org/abs/2605.12716 2026

R. Indergand, D. Kochmann, A. Ruland, A. Tribuzio, C. Zillinger:
On a $T_3$-Structure in Geometrically Linearized Elasticity: Qualitative  and Quantitative Analysis and Numerical Simulations
Math. Models Methods Appl. Sci. 2026

J. Jackson, A. R. Mészáros:
Unconditional well-posedness of the master equation for monotone mean field games of controls
(Preprint) http://arxiv.org/abs/2601.22845 2026

A. Jevnikar, S. H. Moon:
Existence results for a non-relativistic Chern-Simons model with purely mutual interaction
(preprint) http://arxiv.org/abs/2601.06901 2026

C. J. P. Johansson, G. Mescolini:
Topological entropy is generically infinite for non-Lipschitz velocity fields
(preprint) http://arxiv.org/abs/2604.01077 2026

M. Kijaczko, V. Sahu:
Weighted fractional Hardy-Sobolev and Hardy-Sobolev-Maz'ya inequalities with singularities on flat submanifold
Communications in Contemporary Mathematics 2026

D. Ko, X. Yao:
Capillary minimal slicing and scalar curvature rigidity
(preprint) http://arxiv.org/abs/2602.21071 2026

S. Kolasiński, M. Santilli:
Perpendicularity and Locality for Codimension-One Varifolds with Bounded Anisotropic Mean Curvature
(Submitted Paper) http://arxiv.org/abs/2603.21983 2026

L. Kreutz, T. Ziereis:
Emergence of rigid polycrystals from atomistic systems with general interactions
(Preprint) p. 36, 2026

A. Kroshnin, E. Stepanov:
Tropical optimal transportation and large deviations principle
(Preprint) 2026

M. Kruzik, F. Riva:
The effects of pressure loads in the dimension reduction of elasticity models
Journal of Nonlinear Science Vol. 36, N. 37, 2026

A. Kubin, A. Kubin:
The anisotropic surface diffusion with elasticity in three dimensions via the Cahn-Taylor minimizing movement scheme
(Preprint) http://arxiv.org/abs/2606.27834 2026

A. Kubin, E. Pasqualetto:
A Bochner-type integration theory for random normed modules
(preprint) http://arxiv.org/abs/2604.21049 2026

A. Kubin, T. Laux, A. Marveggio:
The Verigin problem with phase transition as a Wasserstein flow
(preprint) http://arxiv.org/abs/2601.20001 2026

R. Kumar, A. Ortega:
Fractional critical systems with mixed boundary conditions
Zeitschrift für angewandte Mathematik und Physik Vol. 77, N. 89, p. 24, 2026

C. Labourie:
Uniform rectifiability of brittle fractures in linear elasticity
(Preprint) 2026

H. J. Lam, A. R. Mészáros:
Distributed Equilibria for $N$-Player Differential Games with Interaction through Controls: Existence, Uniqueness and Large $N$ Limit
(Preprint) http://arxiv.org/abs/2603.29707 2026

X. Lamy, R. Tione:
Hyperbolic regularization effects for degenerate elliptic equations
(preprint) http://arxiv.org/abs/2601.04753 2026

T. Laux, Poiatti:
De Giorgi varifold solutions to Mean Curvature Flow: a minimizing movements approach
(Preprint) http://arxiv.org/abs/2607.03930 2026

H. Lavenant, G. Savaré:
Continuous transformations of probability measures and their transport representations
(preprint) http://arxiv.org/abs/2604.16653 2026

E. Le Donne, A. Lerario, L. Nalon, N. Paddeu, L. Rizzi:
Sard property for rank 2 polarizations in metabelian Lie groups
(preprint) http://arxiv.org/abs/2607.12530 2026

A. Lemenant, R. Mougenot:
Boundary regularity for the polyharmonic Dirichlet problem
Annales de la Faculté des Sciences de Toulouse (AFST) (Accepted Paper) 2026

C. Leone, G. Scilla, F. Solombrino, A. Verde:
Lipschitz regularity of almost-minimizers in two-phase free boundary problems with generalized Orlicz growth
Nonlinear Analysis Vol. 271, p. 114155, 2026

K. Lin, F. Santambrogio:
Existence of a solution of the TV Wasserstein gradient flow
(preprint) http://arxiv.org/abs/2601.22847 2026

E. Maggiorelli, F. Riva, E. G. Tolotti:
A free boundary approach to the quasistatic evolution of debonding models
Mathematical Models and Methods in Applied Sciences 2026

V. Magnani, F. Tripaldi:
Stokes' theorem on positively graded groups
(preprint) http://arxiv.org/abs/2605.23594 2026

R. Mahadevan, F. Olivares, A. Zuniga:
A sharp three-particle fractional Hardy inequality and an angular Selberg-type identity
(preprint) http://arxiv.org/abs/2605.30586 2026

F. P. Maiale:
A note on harmonic polynomials on Heisenberg and Carnot groups
(Submitted Paper) http://arxiv.org/abs/2602.02200 2026

F. P. Maiale:
Perturbation from symmetry for semiconvex lower-order partial-wave nonlinear Dirac equations
(Submitted Paper) http://arxiv.org/abs/2607.14679 2026

E. Mainini, D. Mukherjee, R. Ognibene:
On fractional critical problems with multi-polar Hardy potentials
(preprint) http://arxiv.org/abs/2604.27492 2026

P. Majer, M. Novaga:
On the independence number of de Bruijn graphs
(Preprint) http://arxiv.org/abs/2604.14671 2026

C. Mantegazza:
Introduzione al Flusso di Ricci
(Lecture Notes) 2026

C. Mantegazza, F. Oronzio:
$X$-ADM Mass and $X$-Positive Mass Theorem
(Preprint) 2026

C. Mantegazza, F. Oronzio:
Distance Functions, Curvature and Topology
(Preprint) 2026

A. Marchese:
Grandezza topologica: teorema di Baire, gioco di Banach-Mazur e applicazioni
(Lecture Notes) 2026

R. Marziani:
Wrinkling in the Lamé problem: a $\Gamma$-convergence approach
(Preprint) p. 57, 2026

N. Masson, B. Perthame, F. Santambrogio:
A stiff limit of non-homogeneous conservation laws for crowd motion modeling
(Preprint) 2026

F. Mattesini, J. Wiesel:
Adapted Wasserstein Barycenters of Gaussian Processes
(preprint) http://arxiv.org/abs/2604.22453 2026

D. Maximo, P. Reiser, D. Semola:
Ricci curvature and minimal hypersurfaces with large Betti numbers
Calc. Var. Vol. 65, N. 120, 2026

D. Mazzoleni, R. Moraschi, B. Ruffini:
Existence and Regularity in the Small-Mass Regime for a Hartree--Ohta-Kawasaki Shape Optimization Problem
(Submitted Paper) 2026

D. Mazzoleni, R. Moraschi, B. Ruffini:
Nonexistence for screened Hartree energies
(Submitted Paper) 2026

D. Mazzoleni, E. Radici, F. Riva:
On a degenerate second order traffic model: existence of discrete evolutions, deterministic many-particle limit and first order approximation
Discrete and Continuous Dynamical Systems Vol. 52, p. 401-433, 2026

N. P. Melillo, D. Reggiani:
Fractured membranes under determinant constraints: the case of cohesive surface energies
SIAM Journal on Mathematical Analysis (Accepted Paper) http://arxiv.org/abs/2603.22265 2026

A. C. G. Mennucci:
On Convergence of a family of Random Walks in the Infinite   Dimensional Stiefel Manifold
International Journal of Mathematics and Mathematical Sciences p. 37, 2026

E. Micalizio:
Homogenization effects on non-local functionals
(Preprint) 2026

E. Micalizio, M. Morandotti, H. Shum, M. Zoppello:
Purcell swimmer near a wall
Meccanica Vol. 61, p. article 71, 2026

A. Mondino, R. Perales:
Gromov-Hausdorff and intrinsic flat convergence of RCD(K,N) and Kato spaces
(Submitted Paper) http://arxiv.org/abs/2602.03280 2026

A. Mondino, V. Ryborz, C. Saemann:
Stability of synthetic timelike ricci bounds under C^0-limits and applications to impulsive gravitational waves
(Preprint) http://arxiv.org/abs/2605.03172 2026

A. Mondino, C. Saemann:
Lorentzian Gromov-Hausdorff convergence and pre-compactness
Journal fur die Reine und Angewandte Mathematik (Accepted Paper) http://arxiv.org/abs/2504.10380 2026

M. Morandotti, P. Rybka, G. Wheeler:
Stabilization of solutions to a model of Langmuir-Blodgett films
(Submitted Paper) 2026

M. Muratori, T. Petitt, F. Quirós:
An inhomogeneous porous medium equation with non-integrable data:  asymptotics
Nonlinear Analysis (Accepted Paper) http://arxiv.org/abs/2403.12854 2026

A. R. Mészáros, Y. Osborne:
Numerical analysis of first-order mean field games under displacement monotonicity
(Preprint) http://arxiv.org/abs/2606.26853 2026

A. R. Mészáros, G. Parker:
Existence Theory for a Cross-Diffusion System with Independent Drifts: Mixing Dynamics
(Preprint) http://arxiv.org/abs/2603.18770 2026

A. Nastasi, E. Peña Ayala, M. Vestberg:
Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations
NONLINEAR ANALYSIS Vol. 271, 2026

R. Neumayer, M. Novack, A. Skorobogatova:
Minimizing clusters with prescribed asymptotic geometry
(Preprint) 2026

F. Nobili:
An overview of the stability of Sobolev inequalities on Riemannian  manifolds with Ricci lower bounds
Indag. Math. 2026

F. Nobili, M. Novaga, E. Paolini:
Anisotropic isoperimetric double tilings of the plane
(preprint) http://arxiv.org/abs/2607.10636 2026

F. Nobili, M. Novaga, E. Paolini:
Periodic double tilings of the plane
Trans. Amer. Math. Soc. Vol. 379, N. 6, p. 4323-4348, 2026

F. Nobili, I. Y. Violo:
Generalized existence of extremizers for the sharp $p$-Sobolev  inequality on Riemannian manifolds with nonnegative curvature
Nonlinear Anal. 2026

M. Novack, D. Restrepo, A. Skorobogatova:
Free boundary regularity for semilinear variational problems with a topological constraint
Archive for Rational Mechanics and Analysis 2026

M. Novaga, F. Onoue, E. Paolini:
Optimal sets for a geometric oscillation energy
(Submitted Paper) http://arxiv.org/abs/2602.22910 2026

R. Ognibene, B. Velichkov:
A survey on the optimal partition problem
La Matematica Vol. 5, N. 6, 2026

R. Ognibene, B. Velichkov:
Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems
Arch. Ration. Mech. Anal. (Accepted Paper) 2026

F. Paiano, B. Velichkov:
An elliptic regularization approach to the Stefan problem
(preprint) http://arxiv.org/abs/2606.00885 2026

G. Palatucci:
Capacitary screening for global fractional energies in periodically perforated media
(Preprint) p. 148, 2026

G. Palatucci, M. Piccinini:
Mixed local and nonlocal eigenvalues
Nonlinear Anal. Vol. 262, N. 113922, 2026

G. Pascale:
CZ estimates for some linear and nonlinear elliptic systems with discontinuous coefficients
Ricerche di Matematica 2026

E. Pasqualetto, T. Schultz, J. Taipalus:
A categorical perspective on extended metric-topological spaces
(preprint) http://arxiv.org/abs/2601.07505 2026

M. Perugini:
Minimally singular functions and the rigidity problem for Steiner's  perimeter inequality
Calc. Var. Partial Differential Equations 2026

T. Pham, A. Pinamonti, T. The Dung, B. Xue:
Horizontal Kakeya maximal operators in finite Heisenberg groups: Exact exponents and applications
(Preprint) 2026

G. Pini, F. Santilli:
$Γ$-convergence, variational analysis and characterisation of minimisers for $(s,p)$-Gagliardo energies in the flat $d$-torus
(preprint) http://arxiv.org/abs/2604.25520 2026

A. Pinzi:
Optimal transport between laws of random probability measures and the strict Monge problem
(preprint) http://arxiv.org/abs/2605.01816 2026

A. Pinzi, F. Riva, G. Savaré:
A direct method for doubly nonlinear equations via convexification in spaces of measures and duality
(preprint) http://arxiv.org/abs/2602.09808 2026

G. Pisante, F. Prinari:
Sharp Makai-type inequalities for the best Poincaré-Sobolev constants
(preprint) http://arxiv.org/abs/2604.11973 2026

J. Pozuelo, S. Verzellesi:
Existence and uniqueness of t-graphs of prescribed mean curvature in Heisenberg groups
Trans. Amer. Math. Soc. 2026

F. Quattrocchi:
Variational structures for the Fokker--Planck equation with general  Dirichlet boundary conditions
Calculus of Variations and Partial Differential Equations Vol. 65, N. 23, 2026

F. Riva:
From cohesive to brittle debonding: the quasistatic framework
ESAIM:COCV 2026

E. Salato, D. Zucco:
An isoperimetric inequality for twisted eigenvalues with one orthogonality constraint
Calculus of Variations and Partial Differential Equations 2026

F. Santambrogio, S. M. Schulz:
Segregated solutions of a degenerate cross-diffusion system with drifts
(Preprint) 2026

M. Santilli:
Bubbling of almost critical points of anisotropic isoperimetric problems  with degenerating ellipticity
(Submitted Paper) http://arxiv.org/abs/2603.25644 2026

M. Santilli:
When all parallel sets of a $ C^1 $-hypersurface are nowhere $ C^1 $-regular
(Submitted Paper) http://arxiv.org/abs/2604.26764 2026

G. Savaré:
On the Sadowsky functional for anisotropic ribbons
(preprint) http://arxiv.org/abs/2604.20567 2026

A. Scapin:
On the existence of canonical multi-phase free boundary Brakke flows: a case study
(Preprint) http://arxiv.org/abs/2606.29906v1 2026

L. Scardia, E. G. Tolotti:
Read--Shockley formula for a general Bravais lattice in two dimensions
(preprint) http://arxiv.org/abs/2604.20287 2026

G. Scilla, B. Stroffolini:
Orlicz meets double phase: steady fluids
(Preprint) 2026

F. Serra Cassano, K. Zambanini:
Characterizations of Sobolev and BV functions on Carnot groups
(preprint) http://arxiv.org/abs/2603.28996 2026

G. Siclari, B. Velichkov:
On a Multiphase Vectorial Bernoulli Free Boundary Problem
(preprint) http://arxiv.org/abs/2605.19757 2026

G. Siclari, B. Velichkov:
On the blow-up of the vectorial Bernoulli free boundary problem
(preprint) http://arxiv.org/abs/2602.00741 2026

G. Stefani:
On a weighted version of the BBM formula
J. Math. Anal. Appl. Vol. 557, N. 2, p. Paper No. 130272, 2026

G. Stefani:
On blow-ups of sets with finite fractional variation
J. Geom. Anal. Vol. 36, p. Article No. 223, 2026

L. Talamini:
Strong traces for solutions of $2\times 2$ nonlinear hyperbolic systems
(preprint) http://arxiv.org/abs/2606.23497 2026

E. Tasso, T. Unterberger:
Effective theories for incompressible magnetoelastic shallow shells
Milan Journal of Mathematics p. 30, 2026

S. Terracini, G. Tortone, S. Vita:
A priori Hölder estimates for equations degenerating on nodal sets
Transactions of the American Mathematical Society 2026

R. Tione:
Rigidity of shear flows of the Euler equations in the plane
(preprint) http://arxiv.org/abs/2603.03153 2026

G. Tortone, B. Velichkov:
Vectorial Bernoulli Problems and Free Boundary Systems
La Matematica 2026

F. Tripaldi:
Spectral complexes from truncated multicomplexes
(preprint) http://arxiv.org/abs/2602.01214 2026

R. Tsiamis:
Mean curvature flows with prescribed singular sets
(preprint) http://arxiv.org/abs/2604.14139 2026

R. Tsiamis:
Sharp systolic inequalities for Kähler manifolds
(preprint) http://arxiv.org/abs/2605.20178 2026

P. Valentini:
Legendrian cycles and Reilly-type variational formulae for $F_nW^{2,n}$-sets
(preprint) http://arxiv.org/abs/2606.03373 2026

S. Verzellesi:
A survey on anisotropic integral representation results
New Frontiers in Homogenization and Fractional Calculus, Trends in Mathematics, Springer-Birkhäuser (Proceedings) 2026

G. Vianello:
Minimality of free-boundary axial hyperplanes in high dimensional circular cones via calibration
(Preprint) 2026